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+//
+// More tests for N-dimensional polygon querying
+//
+
+// Create a polygon of some shape (no holes)
+// using turtle graphics. Basically, will look like a very contorted octopus (quad-pus?) shape.
+// There are no holes, but some edges will probably touch.
+
+var numTests = 10
+
+for ( var test = 0; test < numTests; test++ ) {
+
+ Random.srand( 1337 + test );
+
+ var numTurtles = 4;
+ var gridSize = [ 40, 40 ];
+ var turtleSteps = 500;
+ var bounds = [ Random.rand() * -1000000 + 0.00001, Random.rand() * 1000000 + 0.00001 ]
+ var rotation = Math.PI * Random.rand();
+ var bits = Math.floor( Random.rand() * 32 );
+
+ printjson( { test : test, rotation : rotation, bits : bits })
+
+ var rotatePoint = function( x, y ) {
+
+ if( y == undefined ){
+ y = x[1]
+ x = x[0]
+ }
+
+ xp = x * Math.cos( rotation ) - y * Math.sin( rotation )
+ yp = y * Math.cos( rotation ) + x * Math.sin( rotation )
+
+ var scaleX = (bounds[1] - bounds[0]) / 360
+ var scaleY = (bounds[1] - bounds[0]) / 360
+
+ x *= scaleX
+ y *= scaleY
+
+ return [xp, yp]
+
+ }
+
+
+ var grid = []
+ for ( var i = 0; i < gridSize[0]; i++ ) {
+ grid.push( new Array( gridSize[1] ) )
+ }
+
+ grid.toString = function() {
+
+ var gridStr = "";
+ for ( var j = grid[0].length - 1; j >= -1; j-- ) {
+ for ( var i = 0; i < grid.length; i++ ) {
+ if ( i == 0 )
+ gridStr += ( j == -1 ? " " : ( j % 10) ) + ": "
+ if ( j != -1 )
+ gridStr += "[" + ( grid[i][j] != undefined ? grid[i][j] : " " ) + "]"
+ else
+ gridStr += " " + ( i % 10 ) + " "
+ }
+ gridStr += "\n"
+ }
+
+ return gridStr;
+ }
+
+ var turtles = []
+ for ( var i = 0; i < numTurtles; i++ ) {
+
+ var up = ( i % 2 == 0 ) ? i - 1 : 0;
+ var left = ( i % 2 == 1 ) ? ( i - 1 ) - 1 : 0;
+
+ turtles[i] = [
+ [ Math.floor( gridSize[0] / 2 ), Math.floor( gridSize[1] / 2 ) ],
+ [ Math.floor( gridSize[0] / 2 ) + left, Math.floor( gridSize[1] / 2 ) + up ] ];
+
+ grid[turtles[i][1][0]][turtles[i][1][1]] = i
+
+ }
+
+ grid[Math.floor( gridSize[0] / 2 )][Math.floor( gridSize[1] / 2 )] = "S"
+
+ // print( grid.toString() )
+
+ var pickDirections = function() {
+
+ var up = Math.floor( Random.rand() * 3 )
+ if ( up == 2 )
+ up = -1
+
+ if ( up == 0 ) {
+ var left = Math.floor( Random.rand() * 3 )
+ if ( left == 2 )
+ left = -1
+ } else
+ left = 0
+
+ if ( Random.rand() < 0.5 ) {
+ var swap = left
+ left = up
+ up = swap
+ }
+
+ return [ left, up ]
+ }
+
+ for ( var s = 0; s < turtleSteps; s++ ) {
+
+ for ( var t = 0; t < numTurtles; t++ ) {
+
+ var dirs = pickDirections()
+ var up = dirs[0]
+ var left = dirs[1]
+
+ var lastTurtle = turtles[t][turtles[t].length - 1]
+ var nextTurtle = [ lastTurtle[0] + left, lastTurtle[1] + up ]
+
+ if ( nextTurtle[0] >= gridSize[0] || nextTurtle[1] >= gridSize[1] || nextTurtle[0] < 0 || nextTurtle[1] < 0 )
+ continue;
+
+ if ( grid[nextTurtle[0]][nextTurtle[1]] == undefined ) {
+ turtles[t].push( nextTurtle )
+ grid[nextTurtle[0]][nextTurtle[1]] = t;
+ }
+
+ }
+ }
+
+ // print( grid.toString() )
+
+ turtlePaths = []
+ for ( var t = 0; t < numTurtles; t++ ) {
+
+ turtlePath = []
+
+ var nextSeg = function(currTurtle, prevTurtle) {
+
+ var pathX = currTurtle[0]
+
+ if ( currTurtle[1] < prevTurtle[1] ) {
+ pathX = currTurtle[0] + 1
+ pathY = prevTurtle[1]
+ } else if ( currTurtle[1] > prevTurtle[1] ) {
+ pathX = currTurtle[0]
+ pathY = currTurtle[1]
+ } else if ( currTurtle[0] < prevTurtle[0] ) {
+ pathX = prevTurtle[0]
+ pathY = currTurtle[1]
+ } else if ( currTurtle[0] > prevTurtle[0] ) {
+ pathX = currTurtle[0]
+ pathY = currTurtle[1] + 1
+ }
+
+ // print( " Prev : " + prevTurtle + " Curr : " + currTurtle + " path
+ // : "
+ // + [pathX, pathY]);
+
+ return [ pathX, pathY ]
+ }
+
+ for ( var s = 1; s < turtles[t].length; s++ ) {
+
+ currTurtle = turtles[t][s]
+ prevTurtle = turtles[t][s - 1]
+
+ turtlePath.push( nextSeg( currTurtle, prevTurtle ) )
+
+ }
+
+ for ( var s = turtles[t].length - 2; s >= 0; s-- ) {
+
+ currTurtle = turtles[t][s]
+ prevTurtle = turtles[t][s + 1]
+
+ turtlePath.push( nextSeg( currTurtle, prevTurtle ) )
+
+ }
+
+ // printjson( turtlePath )
+
+ // End of the line is not inside our polygon.
+ var lastTurtle = turtles[t][turtles[t].length - 1]
+ grid[lastTurtle[0]][lastTurtle[1]] = undefined
+
+ fixedTurtlePath = []
+ for ( var s = 1; s < turtlePath.length; s++ ) {
+
+ if ( turtlePath[s - 1][0] == turtlePath[s][0] && turtlePath[s - 1][1] == turtlePath[s][1] )
+ continue;
+
+ var up = turtlePath[s][1] - turtlePath[s - 1][1]
+ var right = turtlePath[s][0] - turtlePath[s - 1][0]
+ var addPoint = ( up != 0 && right != 0 )
+
+ if ( addPoint && up != right ) {
+ fixedTurtlePath.push( [ turtlePath[s][0], turtlePath[s - 1][1] ] )
+ } else if ( addPoint ) {
+ fixedTurtlePath.push( [ turtlePath[s - 1][0], turtlePath[s][1] ] )
+ }
+
+ fixedTurtlePath.push( turtlePath[s] )
+
+ }
+
+ // printjson( fixedTurtlePath )
+
+ turtlePaths.push( fixedTurtlePath )
+
+ }
+
+ // Uncomment to print polygon shape
+ // print( grid.toString() )
+
+ var polygon = []
+ for ( var t = 0; t < turtlePaths.length; t++ ) {
+ for ( var s = 0; s < turtlePaths[t].length; s++ ) {
+ polygon.push( rotatePoint( turtlePaths[t][s] ) )
+ }
+ }
+
+ // Uncomment to print out polygon
+ // printjson( polygon )
+
+ t = db.polytest2
+ t.drop()
+
+ // Test single and multi-location documents
+ var pointsIn = 0
+ var pointsOut = 0
+ var allPointsIn = []
+ var allPointsOut = []
+
+ for ( var j = grid[0].length - 1; j >= 0; j-- ) {
+ for ( var i = 0; i < grid.length; i++ ) {
+
+ var point = rotatePoint( [ i + 0.5, j + 0.5 ] )
+
+ t.insert( { loc : point } )
+ if ( grid[i][j] != undefined ){
+ allPointsIn.push( point )
+ pointsIn++
+ }
+ else{
+ allPointsOut.push( point )
+ pointsOut++
+ }
+ }
+ }
+
+ t.ensureIndex( { loc : "2d" }, { bits : 1 + bits, max : bounds[1], min : bounds[0] } )
+ assert.isnull( db.getLastError() )
+
+ t.insert( { loc : allPointsIn } )
+ t.insert( { loc : allPointsOut } )
+ allPoints = allPointsIn.concat( allPointsOut )
+ t.insert( { loc : allPoints } )
+
+ print( "Points : " )
+ printjson( { pointsIn : pointsIn, pointsOut : pointsOut } )
+ //print( t.find( { loc : { "$within" : { "$polygon" : polygon } } } ).count() )
+
+ assert.eq( gridSize[0] * gridSize[1] + 3, t.find().count() )
+ assert.eq( 2 + pointsIn, t.find( { loc : { "$within" : { "$polygon" : polygon } } } ).count() );
+
+}